Inria Paris,
Ouragan project-team,
Institut de Mathématiques
de Jussieu-Paris Rive Gauche,
Sorbonne University,
Campus Pierre et Marie Curie
Equipe Analyse Algébrique,
4 Place Jussieu,
75252 Paris Cedex 05,
Bureau 15-25 503,
France
Email: alban.quadrat at inria.fr
OreModules:
A symbolic package for the study of linear (functional/control) systems
over Ore algebras (with
F. Chyzak and D. Robertz)
Stafford:
An OreModules
package dedicated Stafford's theorems on the Weyl
algebras and their applications in algebraic systems theory (with D. Robertz)
QuillenSuslin:
An Involutive
package dedicated the Quillen-Suslin theorem and its applications in
algebraic systems theory (with A. Fabiańska)
OreMorphisms:
A homological algebra package for factoring, reducing and decomposing
linear functional systems based on the OreModules
package (with
T. Cluzeau)
Schwarz:
An OreModules
package dedicated to to the symbolic development of
new domain decomposition algorithms based on Smith normal forms,
Gröbner basis computation and constructive algebraic analysis
(with
T. Cluzeau,
V. Dolean and
F. Nataf)
PurityFiltration:
An OreModules
package dedicated to the computation of
purity (codimension/bidualizing) filtration of modules and equidimensional block-triangular forms of linear (functional/control) systems
OreAlgebraicAnalysis:
A Mathematica implementation of the OreModules
and
OreMorphisms
packages (with
T. Cluzeau and
Maris Tõnso)
AbelianSystems:
A
homalg project
package (GAP4) dedicated to abelian categories of systems (with
M. Barakat)
SystemTheory:
A
homalg project
package (GAP4) dedicated to
mathematical system theory (with
M. Barakat, T. Cluzeau and
M. Lange-Hegermann)
NonA:
A small OreModules
package dedicated to the algebraic parameter estimation problem
RankFactorizationProblem:
An OreModules
package dedicated to the rank factorization
problem and its application to gearbox vibration analysis